Ptolemi-nicema: Difference between revisions
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== Temperaments == | == Temperaments == | ||
By tempering it out, rank-4 '''ptolemi-nicemic''' temperament and in the 2.3.5.11 subgroup, rank-3 '''ptolemi-nice''' temperament is defined. See [[69th-octave temperaments]]. | By tempering it out, rank-4 '''ptolemi-nicemic''' temperament and in the 2.3.5.11 subgroup, rank-3 '''ptolemi-nice''' temperament is defined. See [[69th-octave temperaments]]. | ||
[[Category:Commas named after polymaths]] | |||
Latest revision as of 02:39, 4 November 2024
| Interval information |
quinbisa-twethetriluyoyo negative octave
Ptolemi-nicema is an unnoticeable 11-limit comma which marks the difference between 69 intervals of 100/99 and the octave. For EDOs N up to ~20000, it is tempered if and only if 69 divides N.
Tempering it out means that 11/10 and 10/9 are set exactly 1/69th of the octave apart.
Temperaments
By tempering it out, rank-4 ptolemi-nicemic temperament and in the 2.3.5.11 subgroup, rank-3 ptolemi-nice temperament is defined. See 69th-octave temperaments.